Download What`s a flow proof - Coshocton Redskins

Proof and Perpendicular Lines
• We will be able to write flow proofs and paragraph proofs.
• We will be able to write proofs about perpendicular lines.
What's a flow proof
A flow proof follows the same basic principals as all other proofs but are more visual in nature. Arrows are used to indicate linked statements.
Angle 5 and Angle 6 are supplementary
Given
Angle 6 and Angle 7 are supplementary
Given
Congruent Supplements Theorem
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What is a Paragraph Proof
A paragraph proof follows the same basic principals as all other proofs but are more lingual in nature. The statements with their reasons are written in paragraph form.
Since it is given that Angle 5 and
Angle 7 are both supplementary to
Angle 6, Angle 5 is congruent to
Angle 7 by the Congruent
Supplements Theorem.
Given: Angle 5 and Angle 6 are supplementary; Angle 6 and Angle 7 are supplementary.
Prove: Angle 5 is congruent to Angle 7
Two-column Proof
Statements
Paragraph Proof
Flow Proof
Reasons
and
are supplementary
Given
and
are supplementary
Given
Congruent Supplement Theorem
Angle 5 and Angle 6 are supplementary
Given
Angle 6 and Angle 7 are supplementary
Given
Congruent Supplements Theorem
Since Angle 5 and Angle 7 are
both supplementary to Angle 6,
Angle 5 is congruent to Angle 7 by
the Congruent Supplements
Theorem.
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Theorems involving Perpendicular Lines Theorem 3.1 ­ If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Theorem 3.2 ­ If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Theorem 3.3 ­ If two lines are perpendicular, then they intersect to form four right angles.
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